Area of the region bounded by curve $y^2=4 x$ and the $X$-axis between $x=0$ and $x=1$ is

Find the area of the region bounded by the curve $4 x^2$ $+y^2=36$ using integration.

Sketch the region bounded by the lines $$2 x+y=8, y=2, y=4$$ and the $$y$$-axis. Hence, obtain its area using integration.

Find the area of the following region using integration:

$$\left\{(x, y): y^2 \leq 2 x \text { and } y \geq x-4\right\}$$